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Finding the Third Proportional to 39,709,772,416.41 and 85,084,665,197.91

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Solution

The third proportional to 39,709,772,416.41 and 85,084,665,197.91 is: 182,307,774,920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,709,772,416.41 : 85,084,665,197.91 = 85,084,665,197.91 : x
  2. Step 2: Convert to fraction form
    39,709,772,416.41/85,084,665,197.91 = 85,084,665,197.91/x
  3. Step 3: Cross multiply
    39,709,772,416.41x = 85,084,665,197.91 × 85,084,665,197.91
  4. Step 4: Simplify right side
    39,709,772,416.41x = 7,239,400,251,839,926,501,376
  5. Step 5: Solve for x
    x = 7,239,400,251,839,926,501,376/39,709,772,416.41
  6. Step 6: Final answer
    x = 182,307,774,920.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.